word problem q:54

Question

When 1 is added to the difference between 6ix times a number and ​5, the result is greater than 14 added to 5 times the number. Find all such numbers.

Answer 1

Maybe the i in 6ix is a typo? Assuming you meant 6 x not 6ix, then

6N-5 + 1 = 14 + 5N where N = the number

then

6N-5N = 14-1 + 5

N =18

check the answer by plugging 18 for N into the original equation

6(18) -5+1 = 14 + 5(18)

108 -5 + 1 = 14+ 90

104 = 104